On the extent of the injectivity of direct sums of modules

DOI10.2989/16073606.2022.2108521zbMath1520.16020OpenAlexW4297748690WikidataQ123300893 ScholiaQ123300893MaRDI QIDQ6109333

Bülent Saraç, Sergio R. López-Permouth

Publication date: 27 July 2023

Published in: Quaestiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2989/16073606.2022.2108521

zbMATH Keywords

direct sumsNoetherian ringsinjective modulesrelative injectivity

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Torsion theories; radicals on module categories (associative algebraic aspects) (16S90) Noetherian rings and modules (associative rings and algebras) (16P40)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On Artinian rings with restricted class of injectivity domains.
• Rings whose modules have maximal or minimal injectivity domains.
• Semiartinian \(V\)-rings and semiartinian von Neumann regular rings
• Characterizing rings in terms of the extent of the injectivity and projectivity of their modules.
• Rings whose cyclic modules have finitely generated socle
• POOR MODULES: THE OPPOSITE OF INJECTIVITY
• Relative injectivity and chain conditions
• On Ordered Division Rings